題 目：On the stability and dynamic transitions of the nanofluid layer heated from below
主講人：閆東明博士
時(shí) 間：2023年5月25日（周四）13：40-14：40
地 點(diǎn)：6號(hào)學(xué)院樓500會(huì)議室
主辦單位：新葡萄8883官網(wǎng)AMG 浙江省2011“數(shù)據(jù)科學(xué)與大數(shù)據(jù)分析協(xié)同創(chuàng)新中心”
摘要：
This talk is aboutthe stability and the type of dynamic transitions ofthe nanofluid layer heated from below. Firstly, the linear stabilityof the basic state of the nanofluid layer is investigated. Theoretically, we provethat the basic state is going to remain stable as the Rayleigh number smallenough. Numerically, we show that the basic state will lose its stability andbecome unstable when the Rayleigh number exceeds a critical value. Secondly,the dynamic transition related to basic state instability is studied. We showthat a parameter called transition number plays an important role in determiningthe type of the phase transition. It is more accurate to say that if the signof the real part of the transition number is negative (positive) then the typeof the phase transition is continuous (catastrophic) transition. Finally, we usenumerical experiment to determine the transition types under the specifyingcontrol parameters cases. Our numerical experiments show that the transitionnumber always has a negative real part which means that the phase transitioncan only be continuous transition.
主講人簡介：
閆東明，四川大學(xué)應(yīng)用數(shù)學(xué)博士。美國印第安納大學(xué)布盧明頓分校訪問學(xué)者。主要研究領(lǐng)域?yàn)槠⒎址匠汤碚摷捌鋺?yīng)用。在相變動(dòng)力學(xué)理論的應(yīng)用、具有變號(hào)核的算子方程正解的存在性、帶有集值問題正解分支的振蕩性、非局部四階邊值問題的譜及其應(yīng)用、以及變系數(shù)問題正解的存在性等方面取得了一些進(jìn)展。主要成果發(fā)表在《Journal of Differential Equations》、《Nonlinear Dynamics》、《Discrete Contin. Dyn. Syst. Ser. B》、《應(yīng)用數(shù)學(xué)學(xué)報(bào)》、《系統(tǒng)科學(xué)與數(shù)學(xué)》等國內(nèi)外學(xué)術(shù)期刊上。
歡迎各位老師和同學(xué)積極參加！
